Search a number
-
+
421697920 = 2757317113
BaseRepresentation
bin11001001000101…
…001100110000000
31002101111110210111
4121020221212000
51330423313140
6105502241104
713310242000
oct3110514600
91071443714
10421697920
111a7045986
12b9286194
136949a7c7
1440012000
152704c7ea
hex19229980

421697920 has 256 divisors, whose sum is σ = 1255824000. Its totient is φ = 134873088.

The previous prime is 421697911. The next prime is 421697923. The reversal of 421697920 is 29796124.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421697923) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3731784 + ... + 3731896.

Almost surely, 2421697920 is an apocalyptic number.

421697920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421697920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627912000).

421697920 is an abundant number, since it is smaller than the sum of its proper divisors (834126080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

421697920 is a wasteful number, since it uses less digits than its factorization.

421697920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 421697920 is about 20535.2847557564. The cubic root of 421697920 is about 749.8950490181.

The spelling of 421697920 in words is "four hundred twenty-one million, six hundred ninety-seven thousand, nine hundred twenty".